Soliton-like structures in the spectrum and the corresponding eigenstates morphology for the quantum desymmetrized Sinai billiard

2021 ◽  
Vol 31 (11) ◽  
pp. 113122
Author(s):  
M. R. Sales ◽  
A. L. Azevedo ◽  
F. Teston ◽  
M. G. E. da Luz ◽  
F. M. Zanetti
Keyword(s):  
Sinai Billiard

scholarly journals Quantum chaos for two-dimensional Sinai billiard

2014 ◽  
Vol 63 (14) ◽  
pp. 140507
Author(s):  
Qin Chen-Chen ◽  
Yang Shuang-Bo
Keyword(s):  
Quantum Chaos ◽  
Two Dimensional ◽  
Sinai Billiard

Elliptic islands in generalized Sinai billiards

1996 ◽  
Vol 16 (5) ◽  
pp. 975-1010 ◽  
Author(s):  
Victor J. Donnay
Keyword(s):  
Computer Algebra System ◽  
Necessary Conditions ◽  
Kam Theory ◽  
Geodesic Flows ◽  
Finite Range ◽  
Hamiltonian Flows ◽  
Lennard Jones ◽  
Degeneracy Condition ◽  
Sinai Billiards ◽  
Sinai Billiard

AbstractWe find necessary conditions for a generalized Sinai billiard to be ergodic, independent of the geometry of the disks; i.e. if the conditions are not satisfied, then we can always construct special geometries for which the system is not ergodic. We prove non-ergodicity by constructing an elliptic periodic orbit and showing that this orbit satisfies the non-degeneracy condition of KAM theory. By a combination of theory and numerical calculation involving a computer algebra system (Mathematica), we show that the first Birkhoff invariant is non-zero. We apply this result to produce non-ergodic Hamiltonian flows that are generated by smooth potentials of finite range (repelling potentials and Lennard–Jones potentials) and by geodesic flows on the torus.

Geometry induced quantum interference: a continuous evolution from square to Sinai billiard

1996 ◽  
Vol 20 (3) ◽  
pp. 297-305 ◽  
Author(s):  
R.P. Taylor ◽  
R. Newbury ◽  
A.S. Sachrajda ◽  
Y. Feng ◽  
P.T. Coleridge ◽  
...  
Keyword(s):  
Quantum Interference ◽  
Continuous Evolution ◽  
Sinai Billiard

Wave Dynamical Chaos in a Superconducting Three-Dimensional Sinai Billiard

1997 ◽  
Vol 79 (6) ◽  
pp. 1026-1029 ◽  
Author(s):  
H. Alt ◽  
C. Dembowski ◽  
H.-D. Gräf ◽  
R. Hofferbert ◽  
H. Rehfeld ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Dynamical Chaos ◽  
Sinai Billiard

Accidental bound states in the continuum in an open Sinai billiard

2017 ◽  
Vol 381 (7) ◽  
pp. 720-724 ◽  
Author(s):  
A.S. Pilipchuk ◽  
A.F. Sadreev
Keyword(s):  
Bound States ◽  
Sinai Billiard ◽  
The Continuum
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